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Finding the Fourth Proportional to 728.29, 1,004.71 and 485.82

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Solution

The fourth proportional to 728.29, 1,004.71 and 485.82 is: 670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.29 : 1,004.71 = 485.82 : x
  2. Step 2: Convert to fraction form
    728.29/1,004.71 = 485.82/x
  3. Step 3: Cross multiply
    728.29x = 1,004.71 × 485.82
  4. Step 4: Simplify right side
    728.29x = 488,100.76
  5. Step 5: Solve for x
    x = 488,100.76/728.29
  6. Step 6: Final answer
    x = 670.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.